An adaptive finite element method for the inequality-constrained Reynolds equation

Gustafsson, Tom; Rajagopal, Κ. R.; Stenberg, Rolf; Videman, Juha H.

doi:10.1016/j.cma.2018.03.004

Cited by 10 publications

(1 citation statement)

References 31 publications

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“…When the pressure of the gas bearing reaches the maximum value, the flow field will rupture, leading to the failure of the Reynolds equation. Since the film flow field follows the Reynolds boundary condition, [25][26][27] the internal gas flow should meet:…”

Section: Gas Film Boundary Conditionsmentioning

confidence: 99%

Analysis of flow field characteristics of multi-degree-of-freedom motor with air-floatation

Xing

Wang

et al. 2021

Advances in Mechanical Engineering

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In order to combine the working performance of the motor and the specific requirements for accuracy, a model combining gas bearing with multi-degree-of-freedom (MDOF) motor is invoked. The bearing structure is optimized in terms of lubrication characteristics, which makes the motor life and deflection accuracy have been significantly improved. This kind of special bearing mainly provides a certain supporting force for the motor. Its stability directly affects the output performance of the motor. It should be ensured that the bearing can be used as a stable supporting structure. This paper mainly analyzes the flow field characteristics of this kind of motor, and discusses the stability of the motor by changing the gas film thickness and the motor rotor speed. Firstly, the structure and basic parameters of the air bearing motor are introduced, and the role of the bearing in the motor is described. Then, the film flow field is analyzed theoretically and simulated by finite element software. Finally, the experimental platform of gas bearing stability is built to verify the rationality of finite element analysis. The results provide references for the application of gas bearings in MDOF motors, and provide a direction for the development of precision in MDOF motors.

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Section: Gas Film Boundary Conditionsmentioning

confidence: 99%

Analysis of flow field characteristics of multi-degree-of-freedom motor with air-floatation

Xing

Wang

et al. 2021

Advances in Mechanical Engineering

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Subcritical behaviour of short cylindrical journal bearings under periodic excitation

et al. 2023

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Rotating machinery supported on journal bearings is affected by forces due to rotating unbalance and pressure gradients in the oil film. The interaction of these forces can evoke nonlinear behaviour, including asynchronous motion and even chaos. This work attempts to characterise the sub-synchronous motion of the rigid rotor supported on cylindrical journal bearings due to the abovementioned interaction. The analysis focuses on the rotor behaviour at the rotor speeds lower than the threshold speed for oil whirl, associated with sub-synchronous vibration of magnitude equaling the bearing clearance. It is shown that the sub-synchronous vibration can occur well before reaching the threshold speed and that the underlying period-doubling bifurcation depends on the amount of the rotating unbalance. The rotor response and stability are analysed using a numerical continuation method employing the infinitely short journal bearing model. Continuation results are further validated by time simulations which utilise the finite difference method to compute the hydrodynamic forces. The validation process employs bifurcation diagrams, Poincaré sections and numerical estimates of the largest Lyapunov exponents.

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Adaptive finite elements for obstacle problems

Gustafsson

2024

Advances in Applied Mechanics

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An adaptive finite element method for the inequality-constrained Reynolds equation

Cited by 10 publications

References 31 publications

Analysis of flow field characteristics of multi-degree-of-freedom motor with air-floatation

Analysis of flow field characteristics of multi-degree-of-freedom motor with air-floatation

Subcritical behaviour of short cylindrical journal bearings under periodic excitation

Adaptive finite elements for obstacle problems

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